778000204800 has 3960 divisors, whose sum is σ = 3921459843840. Its totient is φ = 150493593600.

The previous prime is 778000204753. The next prime is 778000204811. The reversal of 778000204800 is 8402000877.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 25096780785 + ... + 25096780815.

Almost surely, 2^778000204800 is an apocalyptic number.

778000204800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 778000204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960729921920).

778000204800 is an abundant number, since it is smaller than the sum of its proper divisors (3143459639040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

778000204800 is a wasteful number, since it uses less digits than its factorization.

778000204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 778000204800 in words is "seven hundred seventy-eight billion, two hundred four thousand, eight hundred".